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Recent theoretical advances have led to the creation of a unified phasediagram for the thermal glass and athermal jamming transitions. This diagrammakes clear that, while related, the mode-coupling---or dynamic---glasstransition is distinct from the jamming transition, occurring at a finitetemperature and significantly lower density than the jamming transition.Nonetheless, we demonstrate a pre-jamming transition in athermal frictionlessspheres which occurs at the same density as the mode-coupling transition and ismarked by percolating clusters of locally rigid particles. At this density inboth the thermal and athermal systems, individual motions of an extensivenumber of particles become constrained, such that only collective motion ispossible. This transition, which is well below jamming, exactly matches thedefinition of collective behavior at the dynamical transition of glasses. Thus,we reveal that the genesis of rigidity in both thermal and athermal systems isgoverned by the same underlying topological transition in their sharedconfiguration space.

Echoes of the glass transition in athermal soft spheres